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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
Which of the following is not true?
  • A
    $3^2 > 2^3$
  • B
    $4^3 = 26$
  • ✓
    $3^3 = 9$
  • D
    $2^5 > 5^2$
✓

Answer

Correct option: C.
$3^3 = 9$
For option $(a)$,$ 3^2> 2^3$
$3 \times 3 > 2 \times 2 \times 2$
$9 > 8 $(true)
For option $(b)$, $4^3 = 2^6$
$(2^2)^3 = 2^6$
$2^6 = 2^6$ (true) [$\because(\text{a}^{\text{m}})^{\text{n}}=\text{a}^{\text{m}\times\text{n}}$]
For option $(c)$, $3^3 = 9$
$3 \times 3 \times 3 = 9$
$29\neq9$ (not true)
For option $(d)$, $2^5 > 5^2$
$2 \times 2 \times 2 \times 2 \times 2 > 5 \times 5$
$32 > 25$ (true)
Hence, option $(c)$ is not true.

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